1. Plasma volume in a person is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 25 male students at a local college are tested and that they have a plasma volume sample mean of ?̅ = ??. ? ml/kg (milliliter plasma per kilogram body weight). Assume that the standard deviation of plasma volume of all students attending this college is ?. ? ml/kg, and the distribution is normal.
a. Find the critical value, ??/? for 96% confidence interval for ?, the population volume, the margin of error, and the confidence interval.
b. Find the sample size necessary for a 96% confidence level with a margin of error E = 2.30 for the mean plasma volume in male students of the college.
c. If we know that the sample standard deviation s = ?. ? ml/kg, what should be the critical value ??/? for the confidence interval if we want to construct 98% confidence interval using ?̅ = ??. ? ml/kg and a random sample of 25 male students?
d. The confidence interval for ? (using the information in question e) is:
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